SOLUTION: A car can travel 300 miles in the same amount of time it takes a bus to travel 180 miles. If the average speed of the bus is 20 miles per hour slower than the speed of the car, fin

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Question 891789: A car can travel 300 miles in the same amount of time it takes a bus to travel 180 miles. If the average speed of the bus is 20 miles per hour slower than the speed of the car, find the speed of each?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Let r = speed of car;
RT=D rate time distance, uniform rates relation for travel.
T=D%2FR

____________________speed_______time_______distance
CAR___________________r__________t_________300
BUS__________________r-20________t_________180

How about it? You see what to do?

Answer by MathTherapy(10557) About Me  (Show Source):
You can put this solution on YOUR website!

A car can travel 300 miles in the same amount of time it takes a bus to travel 180 miles. If the average speed of the bus is 20 miles per hour slower than the speed of the car, find the speed of each?

Let speed of car be S
Then speed of bus = S - 20
Since time taken by car, to travel 300 miles is same as time taken by bus to travel 180 miles, then we can say that:
300%2FS+=+180%2F%28S+-+20%29
Cross-multiply to solve for S: the speed of the car
Calculate S - 20 to determine the bus' speed.
Then do a check!!
If you need a complete and detailed solution, let me know!!
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